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iVinArrow [24]
3 years ago
6

Mark bought 12 boxes of paper clips and 10 packages of index cards for a

Mathematics
1 answer:
Nata [24]3 years ago
8 0

Answer:

paper clips = $1.85

index cards = $3.95

Step-by-step explanation:

Mark

12 paper clips = x

10 index cards = y

$61.70 total

Janice

15 paper clips = x

7 index cards = y

$55.40 total

12x + 10y = 61.70

15x + 7y   = 55.40

*** you want to cancel out one of the letters

(12x + 10y = 61.70) * -7

(15x + 7y   = 55.40) * 10

-84x -70y = -431.9

150x + 70y = 554.0

150x + 70y = 554.0

-84x -70y = -431.9

66x + 0 = 122.1

66x = 122.1

x = 122.1 ÷ 66

x = 1.85

plug it back in

15(1.85) + 7y   = 55.40

27.75 + 7y   = 55.40

7y   = 55.40 - 27.75

7y = 27.65

y = 27.65 ÷ 7

y = 3.95

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A person who is 68in tall casts a shadow that is 54in long. At the same moment, a tree casts a shadow that is 18ft long. What is
34kurt

Answer:

<u>22.67 ft</u> is the height of tree.

Step-by-step explanation:

Given:

Height of a person is 68 in and casts a shadow that is 54 in long.

At the same point, a tree casts a shadow that is 18 ft long.

Now, to find the height of tree.

Let the height of tree be x.

If height of a person is 68 in he casts a shadow of 54 in.

So, 68 in is equivalent to 54 in.

Thus, x is equivalent to 18 ft.

Now, to get the height of tree by using cross multiplication method:

\frac{68}{54} =\frac{x}{18}

<em>By cross multiplying we get:</em>

<em />1224=54x<em />

<em>Dividing both sides by 54 we get:</em>

22.67=x

x=22.67\ ft.

Therefore, the height of the tree is 22.67 ft.

6 0
3 years ago
If x= 2 what does y equal
Ivahew [28]

Answer:6

Step-by-step explanation:

4.8(x)+1.2(y)=2.4

y would equal -6.

4.8(2)+1.2(y)=2.4

9.6 + 1.2y = 2.4      subtract 9.6 from both sides

1.2y = - 7.2    divide by 1.2 on both sides

y = -6

3 0
3 years ago
Consider a sequence given by the formula f(n)=3n-1 starting with n=1. Generate the first 5 terms of the sequence
Rufina [12.5K]

Answer:

The first 5 terms are 2, 5, 8, 11, 14.

Step-by-step explanation:

  1. You use the formula to find out each term.
  2. f(n)=3n-1 starting with n=1. If n=1 that is the 1st term, if n=2 that is the 2nd term, and so on. n means what number term it is.
  3. Now to find each term:
  • n=1: f(1)= 3(1)-1= 3-1= 2 The 1st term is 2
  • n=2: f(2)= 3(2)-1= 6-1= 5 The 2nd term is 5
  • n=3: f(3)= 3(3)-1= 9-1=8 The 3rd term is 8
  • n=4: f(4)= 4(3)-1= 12-1= 11 The 4th term is 11
  • n=5: f(5)= 5(3)-1= 15-1= 14 The 5th term is 14

So the first 5 terms are 2,5,8,11,14

5 0
3 years ago
Ja'kniya and Alayjah are shopping at the Apple Store. Ja'kniya bought 4 screensavers and 3 Otterboxes for $29. Alayjah bought 6
Katarina [22]

Answer:  Each screensaver costs $2 and each Otterbox costs $7.

Step-by-step explanation:

Let x = Cost of each screensaver and y = cost of each Otterbox.

As per given, 4x+3y=29       (i)

6x +2y = 26  (ii)

Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get

9x+3y=39    (iii)

Eliminate (i) from (iii) , we get

5x = 10

⇒ x = 2  [Divide both sides by 5]

Put value of x in (i), we get

4(2)+3y=29

⇒ 8+3y= 29

⇒ 3y= 21

⇒ y =7 [Divide both sides by 7]

Hence, Each screensaver costs $2 and each Otterbox costs $7.

7 0
3 years ago
Rewrite the following radical term into rational exponent form. √x
bixtya [17]

Answer:

x¹/²

Step-by-step explanation:

Taking the square root of a number is the same as taking it to the power of one half.

3 0
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